New Results on Variable-Length Lossy Compression Allowing Positive Overflow and Excess Distortion Probabilities

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper shows some new results for the problem of variable-length lossy source coding. We deal with the case where both the excess distortion probability and the overflow probability of codeword lengths are less than or equal to positive constants. Our previous study for the problem of variable-length (noiseless) lossy source coding has derived the general formula of the infimum of the thresholds on the overflow probability by using the quantity based on the smooth max entropy. This study extends this result in two directions. First, we derive the single-letter characterization of the infimum of the thresholds on the overflow probability for stationary memoryless sources. Second, for the problem of variable-length noisy lossy source coding, also known as the problem of remote lossy source coding, we establish the general nonasymptotic formula on the converse bound by using the new quantity based on the smooth max entropy.

Original languageEnglish
Title of host publicationProceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages359-363
Number of pages5
ISBN (Electronic)9784885523182
DOIs
Publication statusPublished - 2019 Mar 8
Event15th International Symposium on Information Theory and Its Applications, ISITA 2018 - Singapore, Singapore
Duration: 2018 Oct 282018 Oct 31

Publication series

NameProceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018

Conference

Conference15th International Symposium on Information Theory and Its Applications, ISITA 2018
CountrySingapore
CitySingapore
Period18/10/2818/10/31

ASJC Scopus subject areas

  • Computer Science Applications
  • Information Systems

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  • Cite this

    Saito, S., Yagi, H., & Matsushima, T. (2019). New Results on Variable-Length Lossy Compression Allowing Positive Overflow and Excess Distortion Probabilities. In Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018 (pp. 359-363). [8664222] (Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ISITA.2018.8664222